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Line $ p $ is described by the equation $ 3x + 2y = 7 $, and line $ q $ is described by the equation $ y = -1.5x + 2 $.

If the point $ \left( a, b \right) $ is on line $ p $, and the point $ \left( a, c \right) $ is on the line $ q $ in the $xy$ -plane, then which of the following MUST be true?

A

$ b-c> o $

B

$ \cfrac { b }{ c } > 0 $

C

$ b + c > 0 $

D

$ bc > 0 $

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